A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the playground?
Question
Question
A walkway forms one diagonal of a square playground. The walkway is 24 m long. How long is a side of the playground?
The diagonal of a square can be obtained by the Pythagorean theorem and is given by:
Diagonal = root (L ^ 2 + L ^ 2)
Where,
L: Sides of the squares
Clearing L, we have:
(Diagonal) ^ 2 = L ^ 2 + L ^ 2
(Diagonal) ^ 2 = 2L ^ 2
L ^ 2 = ((Diagonal) ^ 2) / 2
L = (((Diagonal) ^ 2) / 2) ^ (1/2)
Substituting
L = (((24) ^ 2) / 2) ^ (1/2) = 16.97
The side of the playground is 16.97m long